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This problem uses the same concepts as Multiple-Concept Example 17, except that kinetic, rather than static, friction is involved. A crate is sliding down a ramp that is inclined at an angle 30.6 ° above the horizontal. The coefficient of kinetic friction between the crate and the ramp is 0.360. Find the acceleration of the moving crate.

Respuesta :

Answer:[tex]1.94 m/s^2[/tex]

Explanation:

Given

inclination [tex]\theta =30.6^{\circ}[/tex]

Coefficient of kinetic Friction [tex]\mu =0.36[/tex]

Forces on crate is

[tex]mg\sin \theta -f_r=ma[/tex]

[tex]f_r=\mu mg\cos \theta [/tex]

[tex]mg\sin \theta -\mu mg \cos \theta =ma[/tex]

[tex]a=g\sin \theta -\mu g\cos \theta [/tex]

[tex]a=1.94 m/s^2[/tex]  

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